Abstract
The simulation of hot fusion plasmas via the five-dimensional gyrokinetic equations is computationally intensive with one reason being the curse of dimensionality. Using the sparse grid combination technique could reduce the computational effort. For the computation of the full grid solutions, the plasma turbulence code GENE is used. It is shown that the combination technique is applicable to linear gyrokinetics by retrieving combination coefficients with a least squares approach. The retrieved sparse grid solution is actually close to the full grid one. Also, combination schemes were found which provided promising results with respect to the computational effort and accuracy.
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Kowitz, C., Pflüger, D., Jenko, F., Hegland, M. (2012). The Combination Technique for the Initial Value Problem in Linear Gyrokinetics. In: Garcke, J., Griebel, M. (eds) Sparse Grids and Applications. Lecture Notes in Computational Science and Engineering, vol 88. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31703-3_10
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DOI: https://doi.org/10.1007/978-3-642-31703-3_10
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